OPTION PRICING FOR PROCESSES DRIVEN BY MIXED FRACTIONAL BROWNIAN MOTION WITH SUPERIMPOSED JUMPS

被引:17
|
作者
Rao, B. L. S. Prakasa [1 ]
机构
[1] CR Rao Adv Inst Math Stat & Comp Sci, Hyderabad 500046, Andhra Pradesh, India
关键词
CURRENCY OPTIONS;
D O I
10.1017/S0269964815000200
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We propose a geometric mixed fractional Brownian motion model for the stock price process with possible jumps superimposed by an independent Poisson process. Option price of the European call option is computed for such a model. Some special cases are studied in detail.
引用
收藏
页码:589 / 596
页数:8
相关论文
共 50 条
  • [31] Analytical pricing of geometric Asian power options on an underlying driven by a mixed fractional Brownian motion
    Zhang, Wei-Guo
    Li, Zhe
    Liu, Yong-Jun
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 490 : 402 - 418
  • [32] Convertible bond pricing in a mixed fractional Brownian motion environment
    You Z.
    Liu S.
    Zhang Q.
    Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice, 2017, 37 (04): : 843 - 854
  • [33] Option Pricing with Fractional Stochastic Volatilities and Jumps
    Zhang, Sumei
    Yong, Hongquan
    Xiao, Haiyang
    FRACTAL AND FRACTIONAL, 2023, 7 (09)
  • [34] Maxima of stochastic processes driven by fractional Brownian motion
    Buchmann, B
    Klüppelberg, C
    ADVANCES IN APPLIED PROBABILITY, 2005, 37 (03) : 743 - 764
  • [35] Modeling and Empirical Analysis of Option Pricing with Transaction Costs: ASub-Mixed Fractional Brownian Motion Approach
    Cheng, Zhiyong
    Mao, Xiaoli
    Ma, Aiqin
    JOURNAL OF DERIVATIVES, 2024, 32 (02): : 56 - 71
  • [36] Asian Option Pricing with Monotonous Transaction Costs under Fractional Brownian Motion
    Pan, Di
    Zhou, Shengwu
    Zhang, Yan
    Han, Miao
    JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [37] Fractional Brownian motion in option pricing and dynamic delta hedging: Experimental simulations
    Dufera, Tamirat Temesgen
    NORTH AMERICAN JOURNAL OF ECONOMICS AND FINANCE, 2024, 69
  • [38] An Actuarial Approach to the Minimum or Maximum Option Pricing in Fractional Brownian Motion Environment
    Xue, Hong
    Li, Qiaoyan
    2010 2ND IEEE INTERNATIONAL CONFERENCE ON INFORMATION AND FINANCIAL ENGINEERING (ICIFE), 2010, : 216 - 219
  • [39] Some properties of fractional Bessel Processes driven by fractional Brownian Motion
    Sun, Yu
    Gao, Changchun
    NEW ADVANCES IN SIMULATION, MODELLING AND OPTIMIZATION (SMO '07), 2007, : 1 - +
  • [40] Valuation of the Vulnerable Option Price Based on Mixed Fractional Brownian Motion
    Ouyang, Yanmin
    Yang, Jingyuan
    Zhou, Shengwu
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2018, 2018